mathematics

Vladimir Alekseev (mathematician)

Vladimir Alekseev (mathematician) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Vladimir Alekseev (mathematician) rather than just read about it. In short: Vladimir Mikhailovich Alekseev (Владимир Михайлович Алексеев, sometimes transliterated as "Alexeyev" or "Alexeev", 17 June 1932, Bykovo, Ramensky District, Moscow Oblast – 1 December 1980) was a Russian mathematician who specialized in celestial mechanics and dynamical systems. He attended secondary school in Moscow at one of the special schools of mathematics affiliated with Moscow State University and participated…

Key takeaways

Vladimir Alekseev (mathematician) belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Vladimir Alekseev (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Vladimir Alekseev (mathematician) from memory before moving on to harder problems.

Reference excerpt

Vladimir Mikhailovich Alekseev (Владимир Михайлович Алексеев, sometimes transliterated as "Alexeyev" or "Alexeev", 17 June 1932, Bykovo, Ramensky District, Moscow Oblast – 1 December 1980) was a Russian mathematician who specialized in celestial mechanics and dynamical systems. He attended secondary school in Moscow at one of the special schools of mathematics affiliated with Moscow State University and participated in several mathematical olympiads. From 1950 he studied at the Faculty of Mathematics and Mechanics at the Moscow State University, where he worked as a student of Andrei Kolmogorov on the asymptotic behavior in the three-body problem of celestial mechanics. Already as an undergraduate, Alekseev proved significant new results on quasi-random motion associated with the three-body problem. This was the subject of his dissertation for the Russian candidate degree (Ph.D.) and then his dissertation in 1969 for the Russian doctorate (higher doctoral degree). From 1957 he taught at Moscow State University. In 1970 Alekseev was an Invited Speaker with talk Sur l´allure finale du mouvement dans le problème de trois corps at the ICM in Nice. Over a 20-year period, he conducted 3 ongoing seminars: with Yakov Sinai on dynamical systems, with V. A. Egorov on celestial mechanics, and with M. Zelikin and V. M. Tikhomirov on variational problems and optimal control.

Selected publications Symbolic dynamics (Russian), Kiev 1976 with V. M. Tikhomirov, S. Fomin: Optimal Control, New York: Consultants Bureau 1987 (trans. from the Russian by V. M. Volosov) "A theorem on an integral inequality and some of its applications" by V. M. Alekseev in Thirteen papers on dynamical systems by V. M. Alekseev & 14 other authors, American Mathematical Society 1981 doi:10.1090/trans2/089 with E. M. Galeev, V. M. Tikhomirov: Recueil de problèmes d'optimisation (French), Moscow, MIR 1987

References

External links Mathnet.ru

Worked examples

Example 1 — a first encounter with Vladimir Alekseev (mathematician)

Start with the simplest possible case. Write down what Vladimir Alekseev (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Vladimir Alekseev (mathematician) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Vladimir Alekseev (mathematician) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Vladimir Alekseev (mathematician)

In research: Vladimir Alekseev (mathematician) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Vladimir Alekseev (mathematician) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Vladimir Alekseev (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1932 births, 1980 deaths, 20th-century Russian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Vladimir Alekseev (mathematician) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Vladimir Alekseev (mathematician) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Vladimir Alekseev (mathematician) means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
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Frequently asked questions

What is Vladimir Alekseev (mathematician) in simple terms?

Why does Vladimir Alekseev (mathematician) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Vladimir Alekseev (mathematician)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Vladimir Alekseev (mathematician).